Metrics for Data.Colour.CIE:cieLAB from colour-2.3.3, C

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 7 to 7 computations (0% saved)

sample646.0ms (15.5%)

Memory

44.9MiB live, 856.0MiB allocated

Samples

384.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 181.0ms

ival-add: 88.0ms (48.7% of total)

ival-div: 81.0ms (44.9% of total)

ival-true: 5.0ms (2.8% of total)

exact: 4.0ms (2.2% of total)

ival-assert: 3.0ms (1.7% of total)

Bogosity

explain76.0ms (1.8%)

Memory

-22.4MiB live, 101.8MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`(+.f64 x (/.f64 y #s(literal 500 binary64)))`
-	-	`#s(literal 500 binary64)`
-	-	`(/.f64 y #s(literal 500 binary64))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

49.0ms

512×

valid

Compiler

Compiled 33 to 19 computations (42.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 6.0ms (67.3% of total)

ival-add: 2.0ms (22.4% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess19.0ms (0.5%)

Memory

3.0MiB live, 40.7MiB allocated

Algorithm

1×	egg-herbie

Rules

44×	`sub-neg`
40×	`distribute-lft-neg-in`
34×	`cancel-sign-sub`
26×	`*-commutative`
24×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	32	25
2	74	25
3	176	25
4	245	25
5	294	25
6	301	25
0	5	5
0	7	5
1	8	5
0	8	5

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))

Outputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 x (/.f64 y #s(literal 500 binary64)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify4.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 y #s(literal 500 binary64))
cost-diff	0	(+.f64 x (/.f64 y #s(literal 500 binary64)))

Rules

4×	`lower-+.f32`
2×	`lift-+.f64`
2×	`lift-/.f64`
2×	`lower-+.f64`
2×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	8	11
0	8	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
x
(/.f64 y #s(literal 500 binary64))
y
#s(literal 500 binary64)

Outputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
x
(/.f64 y #s(literal 500 binary64))
y
#s(literal 500 binary64)

localize19.0ms (0.5%)

Memory

-15.4MiB live, 29.1MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(/.f64 y #s(literal 500 binary64))
accuracy	0.01171875	(+.f64 x (/.f64 y #s(literal 500 binary64)))

Samples

14.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 7.0ms (80.4% of total)

ival-add: 1.0ms (11.5% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs
#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())

Inputs

#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())

#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* 1/500 y) (taylor 0 x) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(/ y 500)
0.0ms	y	@	inf	(+ x (/ y 500))
0.0ms	y	@	inf	(/ y 500)
0.0ms	x	@	inf	(+ x (/ y 500))
0.0ms	x	@	0	(+ x (/ y 500))

simplify264.0ms (6.3%)

Memory

4.5MiB live, 166.2MiB allocated

Algorithm

1×	egg-herbie

Rules

4 188×	`lower-/.f32`
4 188×	`lower-/.f64`
3 666×	`associate-/r*`
2 352×	`lower-fma.f64`
2 352×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	138
1	64	138
2	141	138
3	398	138
4	1108	138
5	2539	138
6	3437	138
7	4311	138
8	4789	138
9	4964	138
10	5054	138
11	5752	138
12	6068	138
13	6070	138
14	6070	138
15	6070	138
0	8131	120

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 33

Calls

Call 1

Inputs
(* 1/500 y)
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
x
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(* 1/500 y)
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* 1/500 y)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)

Outputs
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)

rewrite229.0ms (5.5%)

Memory

11.2MiB live, 390.5MiB allocated

Rules

3 588×	`lower-/.f32`
3 586×	`lower-/.f64`
3 556×	`lower-fma.f64`
3 556×	`lower-fma.f32`
2 998×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	31	8
2	235	8
3	3706	8
0	8295	7

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

2 → 154

Calls

Call 1

Inputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(/.f64 y #s(literal 500 binary64))

Outputs
(+.f64 x (*.f64 y #s(literal 1/500 binary64)))
(+.f64 (*.f64 y #s(literal 1/500 binary64)) x)
(+.f64 (.f64 x (/.f64 x (fma.f64 y #s(literal -1/500 binary64) x))) (neg.f64 (/.f64 (.f64 y (*.f64 #s(literal 1/250000 binary64) y)) (fma.f64 y #s(literal -1/500 binary64) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))) #s(literal -1 binary64)))
(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
(-.f64 (.f64 x (/.f64 x (fma.f64 y #s(literal -1/500 binary64) x))) (/.f64 (.f64 y (*.f64 #s(literal 1/250000 binary64) y)) (fma.f64 y #s(literal -1/500 binary64) x)))
(-.f64 (/.f64 (.f64 y (.f64 #s(literal 1/250000 binary64) y)) (-.f64 (.f64 y #s(literal 1/500 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 y #s(literal 1/500 binary64)) x)))
(fma.f64 x #s(literal 1 binary64) (*.f64 y #s(literal 1/500 binary64)))
(fma.f64 x (/.f64 x (fma.f64 y #s(literal -1/500 binary64) x)) (neg.f64 (/.f64 (.f64 y (.f64 #s(literal 1/250000 binary64) y)) (fma.f64 y #s(literal -1/500 binary64) x))))
(fma.f64 y #s(literal 1/500 binary64) x)
(fma.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1 binary64) x)
(fma.f64 (neg.f64 y) #s(literal -1/500 binary64) x)
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/500 binary64) x)) (neg.f64 (/.f64 (.f64 y (*.f64 #s(literal 1/250000 binary64) y)) (fma.f64 y #s(literal -1/500 binary64) x))))
(fma.f64 #s(literal 1 binary64) x (*.f64 y #s(literal 1/500 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/500 binary64)) x)
(fma.f64 #s(literal 1/500 binary64) y x)
(fma.f64 #s(literal 1/500 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 #s(literal 1/500 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)) x)
(fma.f64 #s(literal 1/500 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal -1/500 binary64)) x)
(fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y #s(literal -1/500 binary64)) #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/500 binary64) (neg.f64 y) x)
(fma.f64 #s(literal -1/500 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x)
(fma.f64 #s(literal -1/500 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/500 binary64) x)
(fma.f64 (pow.f64 (.f64 y #s(literal 1/500 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 y #s(literal 1/500 binary64)) #s(literal 1/2 binary64)) x)
(fma.f64 (/.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 y y) #s(literal -1/250000 binary64)))) (fma.f64 y #s(literal 1/500 binary64) x) (neg.f64 (/.f64 (.f64 y (*.f64 #s(literal 1/250000 binary64) y)) (fma.f64 y #s(literal -1/500 binary64) x))))
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(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 1/1953125000000000000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (.f64 y (.f64 #s(literal 1/250000 binary64) y)))))) (neg.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/125000000 binary64)) (-.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/125000000 binary64)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 1/15625000000000000 binary64) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (.f64 y (.f64 #s(literal 1/250000 binary64) y)))))) (fma.f64 (.f64 y (.f64 y y)) #s(literal 1/125000000 binary64) (neg.f64 (.f64 x (*.f64 x x)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 1/15625000000000000 binary64) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/500 binary64) x)))) (neg.f64 (fma.f64 (.f64 y (.f64 #s(literal 1/250000 binary64) y)) (fma.f64 y (.f64 #s(literal 1/250000 binary64) y) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 y (.f64 #s(literal 1/250000 binary64) y) (.f64 x x)) (fma.f64 x x (.f64 (.f64 y y) #s(literal -1/250000 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/500 binary64) x)))) (neg.f64 (fma.f64 y (.f64 #s(literal 1/250000 binary64) y) (.f64 x x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 y #s(literal 1/500 binary64)) x) (-.f64 (.f64 y (.f64 #s(literal 1/250000 binary64) y)) (.f64 x x))) #s(literal -1 binary64))
(.f64 (fma.f64 y #s(literal 1/500 binary64) x) (.f64 (fma.f64 y #s(literal -1/500 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/500 binary64) x))))
(*.f64 (fma.f64 y #s(literal 1/500 binary64) x) (/.f64 (fma.f64 y #s(literal -1/500 binary64) x) (fma.f64 y #s(literal -1/500 binary64) x)))
(.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal 1/125000000 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (.f64 y (*.f64 #s(literal 1/250000 binary64) y)))))
(.f64 (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (.f64 y (.f64 #s(literal 1/250000 binary64) y))) (.f64 (fma.f64 y #s(literal 1/500 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (.f64 y (.f64 #s(literal 1/250000 binary64) y))))))
(.f64 (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (.f64 y (.f64 #s(literal 1/250000 binary64) y))) (/.f64 (fma.f64 y #s(literal 1/500 binary64) x) (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (.f64 y (*.f64 #s(literal 1/250000 binary64) y)))))
(*.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))
(.f64 (fma.f64 x x (.f64 (*.f64 y y) #s(literal -1/250000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/500 binary64) x)))
(.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal 1/125000000 binary64) (neg.f64 (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (.f64 y (*.f64 #s(literal 1/250000 binary64) y))))))
(.f64 (neg.f64 (fma.f64 x x (.f64 (*.f64 y y) #s(literal -1/250000 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y #s(literal -1/500 binary64) x))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (.f64 y (.f64 #s(literal 1/250000 binary64) y)))) (fma.f64 (.f64 y (.f64 y y)) #s(literal 1/125000000 binary64) (.f64 x (*.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (.f64 y (.f64 #s(literal 1/250000 binary64) y)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 y y)) #s(literal 1/125000000 binary64) (.f64 x (*.f64 x x)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/500 binary64) x)) (fma.f64 x x (.f64 (*.f64 y y) #s(literal -1/250000 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/500 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (*.f64 y y) #s(literal -1/250000 binary64)))) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 y (.f64 #s(literal 1/250000 binary64) y)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 1/500 binary64)) x)))
(.f64 (/.f64 (fma.f64 x x (.f64 (.f64 y y) #s(literal -1/250000 binary64))) (fma.f64 (.f64 y (.f64 y y)) #s(literal 1/125000000 binary64) (.f64 x (.f64 x x)))) (fma.f64 (.f64 y #s(literal 1/500 binary64)) (fma.f64 y #s(literal 1/500 binary64) x) (*.f64 x x)))
(.f64 (/.f64 (fma.f64 x x (.f64 (.f64 y y) #s(literal -1/250000 binary64))) (fma.f64 x x (.f64 (*.f64 y y) #s(literal -1/250000 binary64)))) (fma.f64 y #s(literal 1/500 binary64) x))
(.f64 (/.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal 1/125000000 binary64) (.f64 x (.f64 x x))) (fma.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/125000000 binary64)) (.f64 (-.f64 (.f64 y #s(literal 1/500 binary64)) x) (.f64 (-.f64 (.f64 y #s(literal 1/500 binary64)) x) (-.f64 (.f64 y #s(literal 1/500 binary64)) x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (.f64 y (.f64 #s(literal 1/500 binary64) (-.f64 (.f64 y #s(literal 1/500 binary64)) x))) (-.f64 (.f64 y (.f64 #s(literal 1/500 binary64) (-.f64 (.f64 y #s(literal 1/500 binary64)) x))) (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))
(.f64 (/.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal 1/125000000 binary64) (.f64 x (.f64 x x))) (.f64 (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (.f64 y (.f64 #s(literal 1/250000 binary64) y))) (fma.f64 x x (.f64 (.f64 y #s(literal -1/500 binary64)) (-.f64 (.f64 y #s(literal 1/500 binary64)) x))))) (fma.f64 x x (.f64 (.f64 y #s(literal -1/500 binary64)) (-.f64 (.f64 y #s(literal 1/500 binary64)) x))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (.f64 y (.f64 #s(literal 1/250000 binary64) y))) (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 1/1953125000000000000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/125000000 binary64)) (-.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/125000000 binary64)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (.f64 y (.f64 #s(literal 1/250000 binary64) y))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 1/15625000000000000 binary64) (.f64 y (.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 y y)) #s(literal 1/125000000 binary64) (.f64 x (*.f64 x x)))))
(.f64 (pow.f64 (/.f64 (fma.f64 y #s(literal -1/500 binary64) x) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 1/15625000000000000 binary64) (.f64 y (.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 #s(literal 1/250000 binary64) y)) (fma.f64 y (.f64 #s(literal 1/250000 binary64) y) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))))
(.f64 (pow.f64 (/.f64 (fma.f64 y #s(literal -1/500 binary64) x) (.f64 (fma.f64 y (.f64 #s(literal 1/250000 binary64) y) (.f64 x x)) (fma.f64 x x (.f64 (.f64 y y) #s(literal -1/250000 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 1/250000 binary64) y) (.f64 x x))))
(exp.f64 (log.f64 (*.f64 y #s(literal 1/500 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 y #s(literal 1/500 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal -1/500 binary64)))
(neg.f64 (*.f64 y #s(literal -1/500 binary64)))
(neg.f64 (.f64 (.f64 y #s(literal -1/500 binary64)) #s(literal 1 binary64)))
(/.f64 y #s(literal 500 binary64))
(/.f64 (neg.f64 y) #s(literal -500 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))
(/.f64 #s(literal 1/500 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -500 binary64) y))
(/.f64 #s(literal -1/500 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 500 binary64))))
(/.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -500 binary64))))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (neg.f64 (log.f64 (*.f64 y #s(literal -1/500 binary64))))))
(pow.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 250000 binary64) (*.f64 y y)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (*.f64 y #s(literal 1/500 binary64)))))
(*.f64 y #s(literal 1/500 binary64))
(.f64 (.f64 y #s(literal 1/500 binary64)) #s(literal 1 binary64))
(*.f64 (neg.f64 y) #s(literal -1/500 binary64))
(.f64 #s(literal 1 binary64) (.f64 y #s(literal 1/500 binary64)))
(*.f64 #s(literal 1/500 binary64) y)
(*.f64 #s(literal 1/500 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/500 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/500 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 y #s(literal -1/500 binary64)))
(.f64 #s(literal -1 binary64) (pow.f64 (.f64 y #s(literal -1/500 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1/500 binary64) (neg.f64 y))
(*.f64 #s(literal -1/500 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(*.f64 #s(literal -1/500 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/500 binary64))
(.f64 (pow.f64 (.f64 y #s(literal 1/500 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal -1/500 binary64))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal -1/500 binary64))
(.f64 (pow.f64 (pow.f64 (.f64 y #s(literal 1/500 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 1/500 binary64))))
(*.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -1/500 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 1/500 binary64))) (exp.f64 (log.f64 y)))

eval26.0ms (0.6%)

Memory: -16.4MiB live, 62.6MiB allocated
Compiler: Compiled 3 812 to 415 computations (89.1% saved)

prune28.0ms (0.7%)

Memory

31.0MiB live, 69.1MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	183	4	187
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	183	5	188

Accuracy

100.0%

Counts

188 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 y #s(literal 1/500 binary64) x)
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)))
▶	99.9%	(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
✓	100.0%	(+.f64 x (/.f64 y #s(literal 500 binary64)))
▶	50.2%	#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

Compiler

Compiled 36 to 25 computations (30.6% saved)

simplify16.0ms (0.4%)

Memory

-17.2MiB live, 20.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 y #s(literal 1/500 binary64) x)
cost-diff	0	(fma.f64 y #s(literal 1/500 binary64) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)))
cost-diff	0	(*.f64 y #s(literal -1/500 binary64))
cost-diff	128	(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
cost-diff	0	(*.f64 #s(literal 1/500 binary64) y)
cost-diff	0	#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

Rules

144×	`lower-fma.f32`
142×	`lower-fma.f64`
96×	`lower-*.f32`
92×	`lower-*.f64`
64×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	54
0	22	53
1	35	53
2	53	53
3	83	53
4	109	48
5	150	48
6	213	48
7	256	48
8	301	48
9	331	48
10	352	48
0	352	48

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
(*.f64 #s(literal 1/500 binary64) y)
#s(literal 1/500 binary64)
y
(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
x
(*.f64 y #s(literal -1/500 binary64))
y
#s(literal -1/500 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))
(fma.f64 y #s(literal 1/500 binary64) x)
y
#s(literal 1/500 binary64)
x
(fma.f64 y #s(literal 1/500 binary64) x)
y
#s(literal 1/500 binary64)
x

Outputs
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))
(*.f64 #s(literal 1/500 binary64) y)
(*.f64 y #s(literal 1/500 binary64))
#s(literal 1/500 binary64)
y
(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
(fma.f64 y #s(literal 1/500 binary64) x)
x
(*.f64 y #s(literal -1/500 binary64))
y
#s(literal -1/500 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)))
(fma.f64 y #s(literal 1/500 binary64) x)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))
(fma.f64 y #s(literal 1/500 binary64) x)
y
#s(literal 1/500 binary64)
x
(fma.f64 y #s(literal 1/500 binary64) x)
y
#s(literal 1/500 binary64)
x

localize76.0ms (1.8%)

Memory

-16.9MiB live, 118.7MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.09375	(fma.f64 y #s(literal 1/500 binary64) x)
accuracy	0.09375	(fma.f64 y #s(literal 1/500 binary64) x)
accuracy	0.12109375	(/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))
accuracy	0.19140625	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)))
accuracy	0.01171875	(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
accuracy	0.13671875	(*.f64 y #s(literal -1/500 binary64))
accuracy	0.13671875	(*.f64 #s(literal 1/500 binary64) y)
accuracy	31.780794243646902	#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

Samples

55.0ms

256×

valid

Compiler

Compiled 56 to 17 computations (69.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-div: 18.0ms (56.8% of total)

const: 6.0ms (18.9% of total)

ival-mult: 4.0ms (12.6% of total)

ival-add: 2.0ms (6.3% of total)

ival-sub: 1.0ms (3.2% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series7.0ms (0.2%)

Memory

13.8MiB live, 13.8MiB allocated

Counts

7 → 144

Calls

Call 1

Inputs
#s(alt #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) (patch #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/500 binary64) y) (patch (.f64 #s(literal 1/500 binary64) y) #<representation binary64>) () ())
#s(alt (-.f64 x (.f64 y #s(literal -1/500 binary64))) (patch (-.f64 x (.f64 y #s(literal -1/500 binary64))) #<representation binary64>) () ())
#s(alt (.f64 y #s(literal -1/500 binary64)) (patch (.f64 y #s(literal -1/500 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())
#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())

Outputs
#s(alt (* 1/500 y) (taylor 0 x) (#s(alt #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) (patch #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) (patch #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) (patch #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) (patch #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) (patch #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) (patch #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) (patch #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) (patch #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) (patch #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) (patch #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) (patch #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) (patch #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) (patch #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) (patch #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) (patch #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) (patch #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) (patch #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) (patch #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) (patch #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) (patch #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) (patch #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) (patch #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) (patch #s(approx (+ x (/ y 500)) (.f64 #s(literal 1/500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (.f64 #s(literal 1/500 binary64) y) (patch (.f64 #s(literal 1/500 binary64) y) #<representation binary64>) () ())) ())
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#s(alt (* 1/500 y) (taylor inf y) (#s(alt (.f64 #s(literal 1/500 binary64) y) (patch (.f64 #s(literal 1/500 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (.f64 #s(literal 1/500 binary64) y) (patch (.f64 #s(literal 1/500 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (.f64 #s(literal 1/500 binary64) y) (patch (.f64 #s(literal 1/500 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (.f64 #s(literal 1/500 binary64) y) (patch (.f64 #s(literal 1/500 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (.f64 #s(literal 1/500 binary64) y) (patch (.f64 #s(literal 1/500 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (.f64 #s(literal 1/500 binary64) y) (patch (.f64 #s(literal 1/500 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 x) (#s(alt (-.f64 x (.f64 y #s(literal -1/500 binary64))) (patch (-.f64 x (.f64 y #s(literal -1/500 binary64))) #<representation binary64>) () ())) ())
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#s(alt (- x (* -1/500 y)) (taylor 0 x) (#s(alt (-.f64 x (.f64 y #s(literal -1/500 binary64))) (patch (-.f64 x (.f64 y #s(literal -1/500 binary64))) #<representation binary64>) () ())) ())
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#s(alt x (taylor inf x) (#s(alt (-.f64 x (.f64 y #s(literal -1/500 binary64))) (patch (-.f64 x (.f64 y #s(literal -1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x (.f64 y #s(literal -1/500 binary64))) (patch (-.f64 x (.f64 y #s(literal -1/500 binary64))) #<representation binary64>) () ())) ())
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#s(alt x (taylor -inf x) (#s(alt (-.f64 x (.f64 y #s(literal -1/500 binary64))) (patch (-.f64 x (.f64 y #s(literal -1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (.f64 y #s(literal -1/500 binary64))) (patch (-.f64 x (.f64 y #s(literal -1/500 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt (-.f64 x (.f64 y #s(literal -1/500 binary64))) (patch (-.f64 x (.f64 y #s(literal -1/500 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt (-.f64 x (.f64 y #s(literal -1/500 binary64))) (patch (-.f64 x (.f64 y #s(literal -1/500 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt (-.f64 x (.f64 y #s(literal -1/500 binary64))) (patch (-.f64 x (.f64 y #s(literal -1/500 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1/500 y) (taylor inf y) (#s(alt (.f64 y #s(literal -1/500 binary64)) (patch (.f64 y #s(literal -1/500 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -1/500 y) (taylor -inf y) (#s(alt (.f64 y #s(literal -1/500 binary64)) (patch (.f64 y #s(literal -1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/500 y) (taylor -inf y) (#s(alt (.f64 y #s(literal -1/500 binary64)) (patch (.f64 y #s(literal -1/500 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))) #<representation binary64>) () ())) ())
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#s(alt x (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))) #<representation binary64>) () ())) ())
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#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/500 (/ y (pow x 2))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* 1/250000 (/ y (pow x 3))) (* 1/500 (/ 1 (pow x 2))))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (+ (* -1/125000000 (/ y (pow x 4))) (* 1/250000 (/ 1 (pow x 3))))) (* 1/500 (/ 1 (pow x 2))))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 500 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 500 (* -250000 (/ x y))) y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 500 (* 125000000 (/ (pow x 2) (pow y 2)))) (* 250000 (/ x y))) y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 500 (* -62500000000 (/ (pow x 3) (pow y 3)))) (+ (* -125000000 (/ (pow x 2) (pow y 2))) (* 250000 (/ x y)))) y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 500 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 250000 (/ x y)) 500) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 125000000 (/ (pow x 2) y)) (* 250000 x)) y)) 500) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 62500000000 (/ (pow x 3) y)) (* 125000000 (pow x 2))) y)) (* 250000 x)) y)) 500) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 500 y) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -250000 (/ x (pow y 2))) (* 500 (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- (* 125000000 (/ x (pow y 3))) (* 250000 (/ 1 (pow y 2))))) (* 500 (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- (* x (+ (* -62500000000 (/ x (pow y 4))) (* 125000000 (/ 1 (pow y 3))))) (* 250000 (/ 1 (pow y 2))))) (* 500 (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1/500 (/ y x))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* 1/250000 (/ (pow y 2) (pow x 2)))) (* 1/500 (/ y x))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1/125000000 (/ (pow y 3) (pow x 3)))) (+ (* -1/250000 (/ (pow y 2) (pow x 2))) (* 1/500 (/ y x)))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 1/500 (/ y x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 1/250000 (/ (pow y 2) x)) (* 1/500 y)) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/125000000 (/ (pow y 3) x)) (* 1/250000 (pow y 2))) x)) (* 1/500 y)) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())

Calls

36 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ 1 (+ (* y 1/500) x))
0.0ms	y	@	-inf	(/ 1 (+ (* y 1/500) x))
0.0ms	x	@	-inf	(/ 1 (+ (* y 1/500) x))
0.0ms	y	@	inf	(/ 1 (+ (* y 1/500) x))
0.0ms	x	@	0	(/ 1 (+ (* y 1/500) x))

simplify281.0ms (6.8%)

Memory

33.1MiB live, 369.5MiB allocated

Algorithm

1×	egg-herbie

Rules

14 410×	`lower-fma.f64`
14 410×	`lower-fma.f32`
4 138×	`lower-*.f64`
4 138×	`lower-*.f32`
2 208×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	164	842
1	464	836
2	1176	814
3	3584	788
0	8083	680

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 132

Calls

Call 1

Inputs
(* 1/500 y)
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
x
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(* 1/500 y)
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* 1/500 y)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(- x (* -1/500 y))
(- x (* -1/500 y))
(- x (* -1/500 y))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
x
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(* 1/500 y)
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* 1/500 y)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1/500 y)
(* -1/500 y)
(* -1/500 y)
(* -1/500 y)
(* -1/500 y)
(* -1/500 y)
(* -1/500 y)
(* -1/500 y)
(* -1/500 y)
(* -1/500 y)
(* -1/500 y)
(* -1/500 y)
x
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(* 1/500 y)
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* 1/500 y)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* 1/500 y)
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(/ 1 x)
(+ (* -1/500 (/ y (pow x 2))) (/ 1 x))
(+ (* y (- (* 1/250000 (/ y (pow x 3))) (* 1/500 (/ 1 (pow x 2))))) (/ 1 x))
(+ (* y (- (* y (+ (* -1/125000000 (/ y (pow x 4))) (* 1/250000 (/ 1 (pow x 3))))) (* 1/500 (/ 1 (pow x 2))))) (/ 1 x))
(/ 500 y)
(/ (+ 500 (* -250000 (/ x y))) y)
(/ (- (+ 500 (* 125000000 (/ (pow x 2) (pow y 2)))) (* 250000 (/ x y))) y)
(/ (- (+ 500 (* -62500000000 (/ (pow x 3) (pow y 3)))) (+ (* -125000000 (/ (pow x 2) (pow y 2))) (* 250000 (/ x y)))) y)
(/ 500 y)
(* -1 (/ (- (* 250000 (/ x y)) 500) y))
(* -1 (/ (- (* -1 (/ (- (* 125000000 (/ (pow x 2) y)) (* 250000 x)) y)) 500) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 62500000000 (/ (pow x 3) y)) (* 125000000 (pow x 2))) y)) (* 250000 x)) y)) 500) y))
(/ 500 y)
(+ (* -250000 (/ x (pow y 2))) (* 500 (/ 1 y)))
(+ (* x (- (* 125000000 (/ x (pow y 3))) (* 250000 (/ 1 (pow y 2))))) (* 500 (/ 1 y)))
(+ (* x (- (* x (+ (* -62500000000 (/ x (pow y 4))) (* 125000000 (/ 1 (pow y 3))))) (* 250000 (/ 1 (pow y 2))))) (* 500 (/ 1 y)))
(/ 1 x)
(/ (+ 1 (* -1/500 (/ y x))) x)
(/ (- (+ 1 (* 1/250000 (/ (pow y 2) (pow x 2)))) (* 1/500 (/ y x))) x)
(/ (- (+ 1 (* -1/125000000 (/ (pow y 3) (pow x 3)))) (+ (* -1/250000 (/ (pow y 2) (pow x 2))) (* 1/500 (/ y x)))) x)
(/ 1 x)
(* -1 (/ (- (* 1/500 (/ y x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/250000 (/ (pow y 2) x)) (* 1/500 y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/125000000 (/ (pow y 3) x)) (* 1/250000 (pow y 2))) x)) (* 1/500 y)) x)) 1) x))
x
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(* 1/500 y)
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* 1/500 y)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* 1/500 y)
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))

Outputs
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(- x (* -1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(- x (* -1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(- x (* -1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1/500 y)
(*.f64 y #s(literal -1/500 binary64))
(* -1/500 y)
(*.f64 y #s(literal -1/500 binary64))
(* -1/500 y)
(*.f64 y #s(literal -1/500 binary64))
(* -1/500 y)
(*.f64 y #s(literal -1/500 binary64))
(* -1/500 y)
(*.f64 y #s(literal -1/500 binary64))
(* -1/500 y)
(*.f64 y #s(literal -1/500 binary64))
(* -1/500 y)
(*.f64 y #s(literal -1/500 binary64))
(* -1/500 y)
(*.f64 y #s(literal -1/500 binary64))
(* -1/500 y)
(*.f64 y #s(literal -1/500 binary64))
(* -1/500 y)
(*.f64 y #s(literal -1/500 binary64))
(* -1/500 y)
(*.f64 y #s(literal -1/500 binary64))
(* -1/500 y)
(*.f64 y #s(literal -1/500 binary64))
x
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1/500 (/ y (pow x 2))) (/ 1 x))
(/.f64 (fma.f64 y (/.f64 #s(literal -1/500 binary64) x) #s(literal 1 binary64)) x)
(+ (* y (- (* 1/250000 (/ y (pow x 3))) (* 1/500 (/ 1 (pow x 2))))) (/ 1 x))
(/.f64 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 #s(literal 1/250000 binary64) x) #s(literal -1/500 binary64)) #s(literal 1 binary64)) x)
(+ (* y (- (* y (+ (* -1/125000000 (/ y (pow x 4))) (* 1/250000 (/ 1 (pow x 3))))) (* 1/500 (/ 1 (pow x 2))))) (/ 1 x))
(fma.f64 y (/.f64 (.f64 y (.f64 y #s(literal -1/125000000 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 #s(literal 1/250000 binary64) x) #s(literal -1/500 binary64)) #s(literal 1 binary64)) x))
(/ 500 y)
(/.f64 #s(literal 500 binary64) y)
(/ (+ 500 (* -250000 (/ x y))) y)
(/.f64 (fma.f64 x (/.f64 #s(literal -250000 binary64) y) #s(literal 500 binary64)) y)
(/ (- (+ 500 (* 125000000 (/ (pow x 2) (pow y 2)))) (* 250000 (/ x y))) y)
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 #s(literal 125000000 binary64) y) #s(literal -250000 binary64)) #s(literal 500 binary64)) y)
(/ (- (+ 500 (* -62500000000 (/ (pow x 3) (pow y 3)))) (+ (* -125000000 (/ (pow x 2) (pow y 2))) (* 250000 (/ x y)))) y)
(/.f64 (-.f64 #s(literal 500 binary64) (/.f64 (fma.f64 x #s(literal 250000 binary64) (/.f64 (.f64 (.f64 x x) (fma.f64 (/.f64 x y) #s(literal 62500000000 binary64) #s(literal -125000000 binary64))) y)) y)) y)
(/ 500 y)
(/.f64 #s(literal 500 binary64) y)
(* -1 (/ (- (* 250000 (/ x y)) 500) y))
(/.f64 (fma.f64 x (/.f64 #s(literal -250000 binary64) y) #s(literal 500 binary64)) y)
(* -1 (/ (- (* -1 (/ (- (* 125000000 (/ (pow x 2) y)) (* 250000 x)) y)) 500) y))
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 #s(literal 125000000 binary64) y) #s(literal -250000 binary64)) #s(literal 500 binary64)) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 62500000000 (/ (pow x 3) y)) (* 125000000 (pow x 2))) y)) (* 250000 x)) y)) 500) y))
(/.f64 (-.f64 #s(literal 500 binary64) (/.f64 (fma.f64 x #s(literal 250000 binary64) (/.f64 (.f64 (.f64 x x) (fma.f64 (/.f64 x y) #s(literal 62500000000 binary64) #s(literal -125000000 binary64))) y)) y)) y)
(/ 500 y)
(/.f64 #s(literal 500 binary64) y)
(+ (* -250000 (/ x (pow y 2))) (* 500 (/ 1 y)))
(/.f64 (fma.f64 x (/.f64 #s(literal -250000 binary64) y) #s(literal 500 binary64)) y)
(+ (* x (- (* 125000000 (/ x (pow y 3))) (* 250000 (/ 1 (pow y 2))))) (* 500 (/ 1 y)))
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 #s(literal 125000000 binary64) y) #s(literal -250000 binary64)) #s(literal 500 binary64)) y)
(+ (* x (- (* x (+ (* -62500000000 (/ x (pow y 4))) (* 125000000 (/ 1 (pow y 3))))) (* 250000 (/ 1 (pow y 2))))) (* 500 (/ 1 y)))
(fma.f64 x (/.f64 (.f64 x (.f64 x #s(literal -62500000000 binary64))) (pow.f64 y #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 #s(literal 125000000 binary64) y) #s(literal -250000 binary64)) #s(literal 500 binary64)) y))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/500 (/ y x))) x)
(/.f64 (fma.f64 y (/.f64 #s(literal -1/500 binary64) x) #s(literal 1 binary64)) x)
(/ (- (+ 1 (* 1/250000 (/ (pow y 2) (pow x 2)))) (* 1/500 (/ y x))) x)
(/.f64 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 #s(literal 1/250000 binary64) x) #s(literal -1/500 binary64)) #s(literal 1 binary64)) x)
(/ (- (+ 1 (* -1/125000000 (/ (pow y 3) (pow x 3)))) (+ (* -1/250000 (/ (pow y 2) (pow x 2))) (* 1/500 (/ y x)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/500 binary64) y (/.f64 (.f64 (.f64 y y) (fma.f64 (/.f64 y x) #s(literal 1/125000000 binary64) #s(literal -1/250000 binary64))) x)) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* 1/500 (/ y x)) 1) x))
(/.f64 (fma.f64 y (/.f64 #s(literal -1/500 binary64) x) #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/250000 (/ (pow y 2) x)) (* 1/500 y)) x)) 1) x))
(/.f64 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 #s(literal 1/250000 binary64) x) #s(literal -1/500 binary64)) #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/125000000 (/ (pow y 3) x)) (* 1/250000 (pow y 2))) x)) (* 1/500 y)) x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/500 binary64) y (/.f64 (.f64 (.f64 y y) (fma.f64 (/.f64 y x) #s(literal 1/125000000 binary64) #s(literal -1/250000 binary64))) x)) x)) x)
x
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)

rewrite294.0ms (7.1%)

Memory

-56.4MiB live, 382.5MiB allocated

Rules

6 616×	`lower-fma.f32`
6 614×	`lower-fma.f64`
3 036×	`lower-*.f32`
3 032×	`lower-*.f64`
1 946×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	38
0	22	32
1	91	32
2	624	32
3	6880	32
0	8376	32

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

7 → 803

Calls

Call 1

Inputs
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
(*.f64 #s(literal 1/500 binary64) y)
(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
(*.f64 y #s(literal -1/500 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)))
(/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))
(fma.f64 y #s(literal 1/500 binary64) x)

Outputs
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 1/500 binary64)))
(exp.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 (.f64 y #s(literal 1/500 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal -1/500 binary64)))
(neg.f64 (*.f64 y #s(literal -1/500 binary64)))
(neg.f64 (.f64 (.f64 y #s(literal -1/500 binary64)) #s(literal 1 binary64)))
(/.f64 y #s(literal 500 binary64))
(/.f64 #s(literal 1/500 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -500 binary64) y))
(/.f64 (neg.f64 y) #s(literal -500 binary64))
(/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/125000000 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 y (.f64 y #s(literal 1/250000 binary64)) (.f64 #s(literal 0 binary64) (.f64 y #s(literal -1/500 binary64))))))
(/.f64 (.f64 (.f64 y y) #s(literal -1/250000 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal -1/500 binary64))))
(pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1 binary64))
(*.f64 y #s(literal 1/500 binary64))
(.f64 (.f64 y #s(literal 1/500 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/500 binary64) y)
(*.f64 #s(literal 1/500 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 #s(literal -1/500 binary64) (neg.f64 y))
(.f64 (.f64 y #s(literal -1/500 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 y #s(literal 1/500 binary64)))
(.f64 #s(literal -1 binary64) (.f64 y #s(literal -1/500 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 y #s(literal -1/500 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) #s(literal -1/500 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)))
(+.f64 x (*.f64 y #s(literal 1/500 binary64)))
(+.f64 x (*.f64 y #s(literal -1/500 binary64)))
(+.f64 x (.f64 (.f64 y #s(literal -1/500 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 y #s(literal 1/500 binary64)) x)
(+.f64 (*.f64 y #s(literal 1/500 binary64)) (neg.f64 (neg.f64 x)))
(+.f64 (.f64 y #s(literal 1/500 binary64)) (.f64 #s(literal -1 binary64) (neg.f64 x)))
(+.f64 (.f64 y #s(literal 1/500 binary64)) (.f64 (neg.f64 x) #s(literal -1 binary64)))
(+.f64 (*.f64 y #s(literal -1/500 binary64)) x)
(+.f64 (*.f64 y #s(literal -1/500 binary64)) (neg.f64 (neg.f64 x)))
(+.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (fma.f64 y #s(literal 1/500 binary64) x) (.f64 y (.f64 y #s(literal 1/250000 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/125000000 binary64)) (fma.f64 x (fma.f64 y #s(literal 1/500 binary64) x) (.f64 y (*.f64 y #s(literal 1/250000 binary64)))))))
(+.f64 (/.f64 (.f64 x x) (fma.f64 y #s(literal 1/500 binary64) x)) (neg.f64 (/.f64 (.f64 y (*.f64 y #s(literal 1/250000 binary64))) (fma.f64 y #s(literal 1/500 binary64) x))))
(+.f64 (/.f64 (.f64 (.f64 y y) #s(literal -1/250000 binary64)) (fma.f64 y #s(literal 1/500 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 y #s(literal 1/500 binary64) (neg.f64 x)))))
(+.f64 (.f64 (.f64 y #s(literal -1/500 binary64)) #s(literal 1 binary64)) x)
(+.f64 (neg.f64 (neg.f64 x)) (*.f64 y #s(literal 1/500 binary64)))
(+.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 y #s(literal 1/500 binary64)))
(+.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 y #s(literal 1/500 binary64)))
(+.f64 (-.f64 x #s(literal 0 binary64)) (*.f64 y #s(literal -1/500 binary64)))
(exp.f64 (log.f64 (fma.f64 y #s(literal 1/500 binary64) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y #s(literal 1/500 binary64) x)) #s(literal 1 binary64)))
(-.f64 x (*.f64 y #s(literal 1/500 binary64)))
(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
(-.f64 #s(literal 0 binary64) (fma.f64 y #s(literal 1/500 binary64) (neg.f64 x)))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (fma.f64 y #s(literal 1/500 binary64) x) (.f64 y (.f64 y #s(literal 1/250000 binary64))))) (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/125000000 binary64)) (fma.f64 x (fma.f64 y #s(literal 1/500 binary64) x) (.f64 y (*.f64 y #s(literal 1/250000 binary64))))))
(-.f64 (/.f64 (.f64 x x) (fma.f64 y #s(literal 1/500 binary64) x)) (/.f64 (.f64 y (*.f64 y #s(literal 1/250000 binary64))) (fma.f64 y #s(literal 1/500 binary64) x)))
(-.f64 (/.f64 (.f64 (.f64 y y) #s(literal -1/250000 binary64)) (fma.f64 y #s(literal 1/500 binary64) x)) (/.f64 (*.f64 x x) (fma.f64 y #s(literal 1/500 binary64) (neg.f64 x))))
(-.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 y #s(literal -1/500 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (fma.f64 y #s(literal 1/500 binary64) x) (.f64 y (.f64 y #s(literal 1/250000 binary64))))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/125000000 binary64)) (fma.f64 x (fma.f64 y #s(literal 1/500 binary64) x) (.f64 y (*.f64 y #s(literal 1/250000 binary64))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 x x) (fma.f64 y #s(literal 1/500 binary64) x)) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 y (*.f64 y #s(literal 1/250000 binary64))) (fma.f64 y #s(literal 1/500 binary64) x)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y y) #s(literal -1/250000 binary64)) (fma.f64 y #s(literal 1/500 binary64) x)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x x) (fma.f64 y #s(literal 1/500 binary64) (neg.f64 x))) #s(literal 1 binary64)))
(-.f64 (+.f64 x #s(literal 0 binary64)) (*.f64 y #s(literal -1/500 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 y #s(literal 1/500 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 y #s(literal -1/500 binary64)))
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(*.f64 (/.f64 (fma.f64 y #s(literal 1/500 binary64) x) (pow.f64 (fma.f64 y #s(literal 1/500 binary64) x) #s(literal 1/2 binary64))) (/.f64 (fma.f64 y #s(literal 1/500 binary64) x) (pow.f64 (fma.f64 y #s(literal 1/500 binary64) x) #s(literal 1/2 binary64))))
(.f64 (/.f64 (fma.f64 y #s(literal 1/500 binary64) x) (fma.f64 y (.f64 y #s(literal 1/250000 binary64)) (.f64 x (neg.f64 x)))) (fma.f64 y (.f64 y #s(literal 1/250000 binary64)) (*.f64 x (neg.f64 x))))
(.f64 (/.f64 (fma.f64 x (fma.f64 y #s(literal 1/500 binary64) x) (.f64 y (.f64 y #s(literal 1/250000 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 y #s(literal 1/500 binary64) x) (fma.f64 x (fma.f64 y #s(literal 1/500 binary64) x) (.f64 y (*.f64 y #s(literal 1/250000 binary64))))))
(*.f64 (/.f64 (fma.f64 y #s(literal 1/500 binary64) x) (fma.f64 y #s(literal 1/500 binary64) x)) (fma.f64 y #s(literal 1/500 binary64) x))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y #s(literal 1/500 binary64) x) #s(literal 1/2 binary64))) (pow.f64 (fma.f64 y #s(literal 1/500 binary64) x) #s(literal 1/2 binary64)))
(.f64 (/.f64 (fma.f64 x x (.f64 (.f64 y y) #s(literal -1/250000 binary64))) (fma.f64 x (.f64 x x) (.f64 (.f64 y (.f64 y y)) #s(literal -1/125000000 binary64)))) (fma.f64 x (fma.f64 y #s(literal 1/500 binary64) x) (.f64 y (*.f64 y #s(literal 1/250000 binary64)))))
(.f64 (/.f64 (fma.f64 x x (.f64 (.f64 y y) #s(literal -1/250000 binary64))) (fma.f64 x x (.f64 (*.f64 y y) #s(literal -1/250000 binary64)))) (fma.f64 y #s(literal 1/500 binary64) x))
(.f64 (/.f64 (fma.f64 x x (.f64 (.f64 y y) #s(literal -1/250000 binary64))) (fma.f64 y (.f64 y #s(literal 1/250000 binary64)) (*.f64 x (neg.f64 x)))) (fma.f64 y #s(literal 1/500 binary64) (neg.f64 x)))
(.f64 (/.f64 (fma.f64 y (.f64 y #s(literal 1/250000 binary64)) (.f64 x (neg.f64 x))) (fma.f64 y (.f64 y #s(literal 1/250000 binary64)) (*.f64 x (neg.f64 x)))) (fma.f64 y #s(literal 1/500 binary64) x))
(.f64 (/.f64 (fma.f64 x x (.f64 (.f64 y y) #s(literal -1/250000 binary64))) (-.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/125000000 binary64)) (.f64 x (.f64 x x)))) (fma.f64 x (neg.f64 x) (.f64 y (fma.f64 y #s(literal 1/250000 binary64) (.f64 x #s(literal 1/500 binary64))))))
(.f64 (/.f64 (fma.f64 y (.f64 y #s(literal 1/250000 binary64)) (.f64 x (neg.f64 x))) (-.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/125000000 binary64)) (.f64 x (.f64 x x)))) (fma.f64 x (fma.f64 y #s(literal 1/500 binary64) x) (.f64 y (.f64 y #s(literal 1/250000 binary64)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 y (.f64 y y)) #s(literal -1/125000000 binary64))) (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))) (.f64 (.f64 y (fma.f64 y #s(literal 1/250000 binary64) (.f64 x #s(literal 1/500 binary64)))) (.f64 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (fma.f64 x x (.f64 (.f64 y y) #s(literal -1/250000 binary64))))))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y (fma.f64 y #s(literal 1/250000 binary64) (.f64 x #s(literal 1/500 binary64)))) (-.f64 (.f64 y (fma.f64 y #s(literal 1/250000 binary64) (.f64 x #s(literal 1/500 binary64)))) (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 y (.f64 y y)) #s(literal -1/125000000 binary64))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (fma.f64 x x (.f64 (.f64 y y) #s(literal -1/250000 binary64)))))) (fma.f64 x (fma.f64 y #s(literal 1/500 binary64) x) (.f64 y (.f64 y #s(literal 1/250000 binary64)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 y (.f64 y y)) #s(literal -1/125000000 binary64))) (fma.f64 (.f64 x (fma.f64 y #s(literal 1/500 binary64) x)) (.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 y y) #s(literal -1/250000 binary64)))) (.f64 #s(literal 1/15625000000000000 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) (fma.f64 (.f64 x (fma.f64 y #s(literal 1/500 binary64) x)) (-.f64 (.f64 x (fma.f64 y #s(literal 1/500 binary64) x)) (.f64 y (.f64 y #s(literal 1/250000 binary64)))) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/62500000000 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 y (.f64 y y)) #s(literal -1/125000000 binary64))) (-.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/62500000000 binary64)) (.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 y y) #s(literal -1/250000 binary64)))))) (-.f64 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (.f64 x (fma.f64 y #s(literal 1/500 binary64) x))))

eval240.0ms (5.8%)

Memory: 32.3MiB live, 289.1MiB allocated
Compiler: Compiled 25 410 to 1 291 computations (94.9% saved)

prune126.0ms (3%)

Memory

-35.4MiB live, 231.0MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	1 175	2	1 177
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	1 175	7	1 182

Accuracy

100.0%

Counts

1 182 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal 1/500 binary64) x)
✓	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)))
✓	99.9%	(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
✓	100.0%	(+.f64 x (/.f64 y #s(literal 500 binary64)))
▶	99.6%	(.f64 (fma.f64 y #s(literal 1/500 binary64) x) (.f64 (fma.f64 y #s(literal 1/500 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))))
▶	50.3%	#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
✓	50.2%	#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

Compiler

Compiled 60 to 37 computations (38.3% saved)

simplify221.0ms (5.3%)

Memory

31.8MiB live, 263.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))
cost-diff	0	(fma.f64 y #s(literal 1/500 binary64) x)
cost-diff	320	(.f64 (fma.f64 y #s(literal 1/500 binary64) x) (.f64 (fma.f64 y #s(literal 1/500 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))))
cost-diff	1792	(*.f64 (fma.f64 y #s(literal 1/500 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)))
cost-diff	0	(/.f64 y #s(literal 500 binary64))
cost-diff	0	#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))

Rules

7 264×	`lower-fma.f32`
7 262×	`lower-fma.f64`
4 566×	`lower-*.f32`
4 564×	`lower-*.f64`
2 020×	`lower-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	55
0	19	37
1	32	33
2	52	33
3	168	33
4	1421	33
5	6485	33
6	7408	33
0	8250	33

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
(/.f64 y #s(literal 500 binary64))
y
#s(literal 500 binary64)
(.f64 (fma.f64 y #s(literal 1/500 binary64) x) (.f64 (fma.f64 y #s(literal 1/500 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))))
(fma.f64 y #s(literal 1/500 binary64) x)
y
#s(literal 1/500 binary64)
x
(*.f64 (fma.f64 y #s(literal 1/500 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)))
(/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))
#s(literal 1 binary64)

Outputs
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
(/.f64 y #s(literal 500 binary64))
y
#s(literal 500 binary64)
(.f64 (fma.f64 y #s(literal 1/500 binary64) x) (.f64 (fma.f64 y #s(literal 1/500 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))))
(fma.f64 y #s(literal 1/500 binary64) x)
(fma.f64 y #s(literal 1/500 binary64) x)
y
#s(literal 1/500 binary64)
x
(*.f64 (fma.f64 y #s(literal 1/500 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))
#s(literal 1 binary64)

localize131.0ms (3.2%)

Memory

-10.6MiB live, 36.3MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 (fma.f64 y #s(literal 1/500 binary64) x) (.f64 (fma.f64 y #s(literal 1/500 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))))
accuracy	0.09375	(fma.f64 y #s(literal 1/500 binary64) x)
accuracy	0.12109375	(/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))
accuracy	0.22265625	(*.f64 (fma.f64 y #s(literal 1/500 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)))
accuracy	0	(/.f64 y #s(literal 500 binary64))
accuracy	31.780794243646902	#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))

Samples

22.0ms

256×

valid

Compiler

Compiled 60 to 14 computations (76.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-div: 4.0ms (29.7% of total)

ival-mult: 4.0ms (29.7% of total)

const: 3.0ms (22.3% of total)

ival-add: 2.0ms (14.8% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series153.0ms (3.7%)

Memory

-28.7MiB live, 10.6MiB allocated

Counts

6 → 132

Calls

Call 1

Inputs
#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 y #s(literal 1/500 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))) (patch (.f64 (fma.f64 y #s(literal 1/500 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 y #s(literal 1/500 binary64) x) (.f64 (fma.f64 y #s(literal 1/500 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)))) (patch (.f64 (fma.f64 y #s(literal 1/500 binary64) x) (.f64 (fma.f64 y #s(literal 1/500 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)))) #<representation binary64>) () ())
#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())

Outputs
#s(alt (* 1/500 y) (taylor 0 x) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (.f64 (fma.f64 y #s(literal 1/500 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))) (patch (.f64 (fma.f64 y #s(literal 1/500 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))) #<representation binary64>) () ())) ())
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#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/500 (/ y (pow x 2))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* 1/250000 (/ y (pow x 3))) (* 1/500 (/ 1 (pow x 2))))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (+ (* -1/125000000 (/ y (pow x 4))) (* 1/250000 (/ 1 (pow x 3))))) (* 1/500 (/ 1 (pow x 2))))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 500 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 500 (* -250000 (/ x y))) y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 500 (* 125000000 (/ (pow x 2) (pow y 2)))) (* 250000 (/ x y))) y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 500 (* -62500000000 (/ (pow x 3) (pow y 3)))) (+ (* -125000000 (/ (pow x 2) (pow y 2))) (* 250000 (/ x y)))) y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 500 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 250000 (/ x y)) 500) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 125000000 (/ (pow x 2) y)) (* 250000 x)) y)) 500) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 62500000000 (/ (pow x 3) y)) (* 125000000 (pow x 2))) y)) (* 250000 x)) y)) 500) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 500 y) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -250000 (/ x (pow y 2))) (* 500 (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- (* 125000000 (/ x (pow y 3))) (* 250000 (/ 1 (pow y 2))))) (* 500 (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- (* x (+ (* -62500000000 (/ x (pow y 4))) (* 125000000 (/ 1 (pow y 3))))) (* 250000 (/ 1 (pow y 2))))) (* 500 (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1/500 (/ y x))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* 1/250000 (/ (pow y 2) (pow x 2)))) (* 1/500 (/ y x))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1/125000000 (/ (pow y 3) (pow x 3)))) (+ (* -1/250000 (/ (pow y 2) (pow x 2))) (* 1/500 (/ y x)))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 1/500 (/ y x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 1/250000 (/ (pow y 2) x)) (* 1/500 y)) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/125000000 (/ (pow y 3) x)) (* 1/250000 (pow y 2))) x)) (* 1/500 y)) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #<representation binary64>) () ())) ())

Calls

33 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(+ (* y 1/500) x)
0.0ms	y	@	0	(* (+ (* y 1/500) x) (/ 1 (+ (* y 1/500) x)))
0.0ms	x	@	0	(+ x (/ y 500))
0.0ms	x	@	-inf	(* (+ (* y 1/500) x) (* (+ (* y 1/500) x) (/ 1 (+ (* y 1/500) x))))
0.0ms	y	@	inf	(* (+ (* y 1/500) x) (* (+ (* y 1/500) x) (/ 1 (+ (* y 1/500) x))))

simplify282.0ms (6.8%)

Memory

27.4MiB live, 501.2MiB allocated

Algorithm

1×	egg-herbie

Rules

15 898×	`lower-fma.f64`
15 898×	`lower-fma.f32`
4 020×	`lower-*.f64`
4 020×	`lower-*.f32`
2 768×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	162	728
1	459	722
2	1166	700
3	3516	674
4	7810	674
0	8340	584

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 123

Calls

Call 1

Inputs
(* 1/500 y)
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
x
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(* 1/500 y)
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* 1/500 y)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
x
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(* 1/500 y)
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* 1/500 y)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* 1/500 y)
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
x
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(* 1/500 y)
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* 1/500 y)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* 1/500 y)
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(/ 1 x)
(+ (* -1/500 (/ y (pow x 2))) (/ 1 x))
(+ (* y (- (* 1/250000 (/ y (pow x 3))) (* 1/500 (/ 1 (pow x 2))))) (/ 1 x))
(+ (* y (- (* y (+ (* -1/125000000 (/ y (pow x 4))) (* 1/250000 (/ 1 (pow x 3))))) (* 1/500 (/ 1 (pow x 2))))) (/ 1 x))
(/ 500 y)
(/ (+ 500 (* -250000 (/ x y))) y)
(/ (- (+ 500 (* 125000000 (/ (pow x 2) (pow y 2)))) (* 250000 (/ x y))) y)
(/ (- (+ 500 (* -62500000000 (/ (pow x 3) (pow y 3)))) (+ (* -125000000 (/ (pow x 2) (pow y 2))) (* 250000 (/ x y)))) y)
(/ 500 y)
(* -1 (/ (- (* 250000 (/ x y)) 500) y))
(* -1 (/ (- (* -1 (/ (- (* 125000000 (/ (pow x 2) y)) (* 250000 x)) y)) 500) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 62500000000 (/ (pow x 3) y)) (* 125000000 (pow x 2))) y)) (* 250000 x)) y)) 500) y))
(/ 500 y)
(+ (* -250000 (/ x (pow y 2))) (* 500 (/ 1 y)))
(+ (* x (- (* 125000000 (/ x (pow y 3))) (* 250000 (/ 1 (pow y 2))))) (* 500 (/ 1 y)))
(+ (* x (- (* x (+ (* -62500000000 (/ x (pow y 4))) (* 125000000 (/ 1 (pow y 3))))) (* 250000 (/ 1 (pow y 2))))) (* 500 (/ 1 y)))
(/ 1 x)
(/ (+ 1 (* -1/500 (/ y x))) x)
(/ (- (+ 1 (* 1/250000 (/ (pow y 2) (pow x 2)))) (* 1/500 (/ y x))) x)
(/ (- (+ 1 (* -1/125000000 (/ (pow y 3) (pow x 3)))) (+ (* -1/250000 (/ (pow y 2) (pow x 2))) (* 1/500 (/ y x)))) x)
(/ 1 x)
(* -1 (/ (- (* 1/500 (/ y x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/250000 (/ (pow y 2) x)) (* 1/500 y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/125000000 (/ (pow y 3) x)) (* 1/250000 (pow y 2))) x)) (* 1/500 y)) x)) 1) x))

Outputs
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
x
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1/500 (/ y (pow x 2))) (/ 1 x))
(/.f64 (fma.f64 y (/.f64 #s(literal -1/500 binary64) x) #s(literal 1 binary64)) x)
(+ (* y (- (* 1/250000 (/ y (pow x 3))) (* 1/500 (/ 1 (pow x 2))))) (/ 1 x))
(/.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) #s(literal 1/250000 binary64) #s(literal -1/500 binary64)) #s(literal 1 binary64)) x)
(+ (* y (- (* y (+ (* -1/125000000 (/ y (pow x 4))) (* 1/250000 (/ 1 (pow x 3))))) (* 1/500 (/ 1 (pow x 2))))) (/ 1 x))
(fma.f64 y (/.f64 (.f64 y (.f64 y #s(literal -1/125000000 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) #s(literal 1/250000 binary64) #s(literal -1/500 binary64)) #s(literal 1 binary64)) x))
(/ 500 y)
(/.f64 #s(literal 500 binary64) y)
(/ (+ 500 (* -250000 (/ x y))) y)
(/.f64 (fma.f64 x (/.f64 #s(literal -250000 binary64) y) #s(literal 500 binary64)) y)
(/ (- (+ 500 (* 125000000 (/ (pow x 2) (pow y 2)))) (* 250000 (/ x y))) y)
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 #s(literal 125000000 binary64) (/.f64 x y) #s(literal -250000 binary64)) #s(literal 500 binary64)) y)
(/ (- (+ 500 (* -62500000000 (/ (pow x 3) (pow y 3)))) (+ (* -125000000 (/ (pow x 2) (pow y 2))) (* 250000 (/ x y)))) y)
(/.f64 (-.f64 #s(literal 500 binary64) (/.f64 (fma.f64 x #s(literal 250000 binary64) (/.f64 (.f64 (.f64 x x) (fma.f64 (/.f64 x y) #s(literal 62500000000 binary64) #s(literal -125000000 binary64))) y)) y)) y)
(/ 500 y)
(/.f64 #s(literal 500 binary64) y)
(* -1 (/ (- (* 250000 (/ x y)) 500) y))
(/.f64 (fma.f64 x (/.f64 #s(literal -250000 binary64) y) #s(literal 500 binary64)) y)
(* -1 (/ (- (* -1 (/ (- (* 125000000 (/ (pow x 2) y)) (* 250000 x)) y)) 500) y))
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 #s(literal 125000000 binary64) (/.f64 x y) #s(literal -250000 binary64)) #s(literal 500 binary64)) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 62500000000 (/ (pow x 3) y)) (* 125000000 (pow x 2))) y)) (* 250000 x)) y)) 500) y))
(/.f64 (-.f64 #s(literal 500 binary64) (/.f64 (fma.f64 x #s(literal 250000 binary64) (/.f64 (.f64 (.f64 x x) (fma.f64 (/.f64 x y) #s(literal 62500000000 binary64) #s(literal -125000000 binary64))) y)) y)) y)
(/ 500 y)
(/.f64 #s(literal 500 binary64) y)
(+ (* -250000 (/ x (pow y 2))) (* 500 (/ 1 y)))
(/.f64 (fma.f64 x (/.f64 #s(literal -250000 binary64) y) #s(literal 500 binary64)) y)
(+ (* x (- (* 125000000 (/ x (pow y 3))) (* 250000 (/ 1 (pow y 2))))) (* 500 (/ 1 y)))
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 #s(literal 125000000 binary64) (/.f64 x y) #s(literal -250000 binary64)) #s(literal 500 binary64)) y)
(+ (* x (- (* x (+ (* -62500000000 (/ x (pow y 4))) (* 125000000 (/ 1 (pow y 3))))) (* 250000 (/ 1 (pow y 2))))) (* 500 (/ 1 y)))
(fma.f64 x (/.f64 (.f64 (.f64 x x) #s(literal -62500000000 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 x y) (fma.f64 #s(literal 125000000 binary64) (/.f64 x y) #s(literal -250000 binary64)) #s(literal 500 binary64)) y))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/500 (/ y x))) x)
(/.f64 (fma.f64 y (/.f64 #s(literal -1/500 binary64) x) #s(literal 1 binary64)) x)
(/ (- (+ 1 (* 1/250000 (/ (pow y 2) (pow x 2)))) (* 1/500 (/ y x))) x)
(/.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) #s(literal 1/250000 binary64) #s(literal -1/500 binary64)) #s(literal 1 binary64)) x)
(/ (- (+ 1 (* -1/125000000 (/ (pow y 3) (pow x 3)))) (+ (* -1/250000 (/ (pow y 2) (pow x 2))) (* 1/500 (/ y x)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/500 binary64) y (/.f64 (.f64 (.f64 y y) (fma.f64 (/.f64 y x) #s(literal 1/125000000 binary64) #s(literal -1/250000 binary64))) x)) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* 1/500 (/ y x)) 1) x))
(/.f64 (fma.f64 y (/.f64 #s(literal -1/500 binary64) x) #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/250000 (/ (pow y 2) x)) (* 1/500 y)) x)) 1) x))
(/.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) #s(literal 1/250000 binary64) #s(literal -1/500 binary64)) #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/125000000 (/ (pow y 3) x)) (* 1/250000 (pow y 2))) x)) (* 1/500 y)) x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/500 binary64) y (/.f64 (.f64 (.f64 y y) (fma.f64 (/.f64 y x) #s(literal 1/125000000 binary64) #s(literal -1/250000 binary64))) x)) x)) x)

rewrite215.0ms (5.2%)

Memory

-4.5MiB live, 349.0MiB allocated

Rules

4 890×	`lower-fma.f32`
4 888×	`lower-fma.f64`
3 568×	`lower-*.f32`
3 566×	`lower-*.f64`
2 574×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	49
0	19	26
1	73	26
2	531	26
3	6722	26
0	8291	26

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

6 → 512

Calls

Call 1

Inputs
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
(/.f64 y #s(literal 500 binary64))
(*.f64 (fma.f64 y #s(literal 1/500 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)))
(.f64 (fma.f64 y #s(literal 1/500 binary64) x) (.f64 (fma.f64 y #s(literal 1/500 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))))
(fma.f64 y #s(literal 1/500 binary64) x)
(/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))

Outputs
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))
(exp.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 (.f64 y #s(literal 1/500 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal -1/500 binary64)))
(neg.f64 (*.f64 y #s(literal -1/500 binary64)))
(neg.f64 (.f64 (.f64 y #s(literal -1/500 binary64)) #s(literal 1 binary64)))
(/.f64 y #s(literal 500 binary64))
(/.f64 #s(literal 1/500 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -500 binary64) y))
(/.f64 (neg.f64 y) #s(literal -500 binary64))
(pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1 binary64))
(*.f64 y #s(literal 1/500 binary64))
(.f64 (.f64 y #s(literal 1/500 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/500 binary64) y)
(*.f64 #s(literal 1/500 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 y #s(literal 1/500 binary64)))
(.f64 #s(literal -1 binary64) (.f64 y #s(literal -1/500 binary64)))
(*.f64 (neg.f64 y) #s(literal -1/500 binary64))
(*.f64 #s(literal -1/500 binary64) (neg.f64 y))
(*.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)))
#s(literal 1 binary64)
(+.f64 x (*.f64 y #s(literal 1/500 binary64)))
(+.f64 (*.f64 y #s(literal 1/500 binary64)) x)
(+.f64 (*.f64 y #s(literal 1/500 binary64)) (neg.f64 (neg.f64 x)))
(+.f64 (.f64 x (/.f64 x (fma.f64 y #s(literal -1/500 binary64) x))) (neg.f64 (/.f64 (.f64 y (*.f64 y #s(literal 1/250000 binary64))) (fma.f64 y #s(literal -1/500 binary64) x))))
(+.f64 (/.f64 (.f64 (.f64 y y) #s(literal -1/250000 binary64)) (fma.f64 y #s(literal -1/500 binary64) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y #s(literal 1/500 binary64)) x))))
(+.f64 (neg.f64 (neg.f64 x)) (*.f64 y #s(literal 1/500 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (.f64 (.f64 (fma.f64 y #s(literal 1/500 binary64) x) y) #s(literal 1/500 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (*.f64 x (fma.f64 y #s(literal 1/500 binary64) x))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (.f64 x (fma.f64 y #s(literal 1/500 binary64) x))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (.f64 (*.f64 (fma.f64 y #s(literal 1/500 binary64) x) y) #s(literal 1/500 binary64))))
(+.f64 (.f64 (.f64 x (fma.f64 y #s(literal 1/500 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))) (.f64 (.f64 (*.f64 (fma.f64 y #s(literal 1/500 binary64) x) y) #s(literal 1/500 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))))
(+.f64 (.f64 (.f64 (.f64 (fma.f64 y #s(literal 1/500 binary64) x) y) #s(literal 1/500 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))) (.f64 (*.f64 x (fma.f64 y #s(literal 1/500 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))))
(exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (fma.f64 y #s(literal 1/500 binary64) x)))))
(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y #s(literal -1/500 binary64)) x))
(-.f64 (.f64 x (/.f64 x (fma.f64 y #s(literal -1/500 binary64) x))) (/.f64 (.f64 y (*.f64 y #s(literal 1/250000 binary64))) (fma.f64 y #s(literal -1/500 binary64) x)))
(-.f64 (/.f64 (.f64 (.f64 y y) #s(literal -1/250000 binary64)) (fma.f64 y #s(literal -1/500 binary64) x)) (/.f64 (.f64 x x) (-.f64 (.f64 y #s(literal 1/500 binary64)) x)))
(-.f64 (/.f64 (.f64 x (/.f64 x (fma.f64 y #s(literal -1/500 binary64) x))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 y (*.f64 y #s(literal 1/250000 binary64))) (fma.f64 y #s(literal -1/500 binary64) x)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y y) #s(literal -1/250000 binary64)) (fma.f64 y #s(literal -1/500 binary64) x)) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y #s(literal 1/500 binary64)) x)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 y #s(literal 1/500 binary64)))
(fma.f64 x (/.f64 x (fma.f64 y #s(literal -1/500 binary64) x)) (neg.f64 (/.f64 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (fma.f64 y #s(literal -1/500 binary64) x))))
(fma.f64 y #s(literal 1/500 binary64) x)
(fma.f64 y #s(literal 1/500 binary64) (neg.f64 (neg.f64 x)))
(fma.f64 y (/.f64 (.f64 y #s(literal 1/250000 binary64)) (-.f64 (.f64 y #s(literal 1/500 binary64)) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y #s(literal 1/500 binary64)) x))))
(fma.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1 binary64) x)
(fma.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(fma.f64 (.f64 y #s(literal 1/500 binary64)) (/.f64 (.f64 y #s(literal 1/500 binary64)) (-.f64 (.f64 y #s(literal 1/500 binary64)) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (*.f64 y #s(literal 1/500 binary64)) x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal 1/500 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)
(fma.f64 #s(literal 1/500 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal 1/500 binary64) (/.f64 (.f64 y (.f64 y #s(literal 1/500 binary64))) (-.f64 (.f64 y #s(literal 1/500 binary64)) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (*.f64 y #s(literal 1/500 binary64)) x))))
(fma.f64 #s(literal 1 binary64) x (*.f64 y #s(literal 1/500 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/500 binary64)) x)
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/500 binary64)) (neg.f64 (neg.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (.f64 x (fma.f64 y #s(literal 1/500 binary64) x)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (.f64 (.f64 (fma.f64 y #s(literal 1/500 binary64) x) y) #s(literal 1/500 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (.f64 (.f64 (fma.f64 y #s(literal 1/500 binary64) x) y) #s(literal 1/500 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (.f64 x (fma.f64 y #s(literal 1/500 binary64) x))))
(fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal -1/500 binary64)) x)
(fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal -1/500 binary64)) (neg.f64 (neg.f64 x)))
(fma.f64 (neg.f64 y) #s(literal -1/500 binary64) x)
(fma.f64 (neg.f64 y) #s(literal -1/500 binary64) (neg.f64 (neg.f64 x)))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/500 binary64) x)) (neg.f64 (/.f64 (.f64 y (*.f64 y #s(literal 1/250000 binary64))) (fma.f64 y #s(literal -1/500 binary64) x))))
(fma.f64 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/500 binary64) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y #s(literal 1/500 binary64)) x))))
(fma.f64 (.f64 y y) (/.f64 #s(literal 1/250000 binary64) (-.f64 (.f64 y #s(literal 1/500 binary64)) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y #s(literal 1/500 binary64)) x))))
(fma.f64 (.f64 x (fma.f64 y #s(literal 1/500 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (.f64 (.f64 (.f64 (fma.f64 y #s(literal 1/500 binary64) x) y) #s(literal 1/500 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))))
(fma.f64 (.f64 (.f64 (fma.f64 y #s(literal 1/500 binary64) x) y) #s(literal 1/500 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) (.f64 (.f64 x (fma.f64 y #s(literal 1/500 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))))
(fma.f64 #s(literal -1/500 binary64) (neg.f64 y) x)
(fma.f64 #s(literal -1/500 binary64) (neg.f64 y) (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal 1/250000 binary64) (/.f64 (.f64 y y) (-.f64 (.f64 y #s(literal 1/500 binary64)) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y #s(literal 1/500 binary64)) x))))
(fma.f64 (.f64 y #s(literal 1/250000 binary64)) (/.f64 y (-.f64 (.f64 y #s(literal 1/500 binary64)) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y #s(literal 1/500 binary64)) x))))
(fma.f64 (.f64 y (.f64 y #s(literal 1/500 binary64))) (/.f64 #s(literal 1/500 binary64) (-.f64 (.f64 y #s(literal 1/500 binary64)) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (*.f64 y #s(literal 1/500 binary64)) x))))
(fma.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) x)
(fma.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) (neg.f64 (neg.f64 x)))
(fma.f64 (/.f64 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (-.f64 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (.f64 x x))) (fma.f64 y #s(literal 1/500 binary64) x) (neg.f64 (/.f64 (.f64 x x) (-.f64 (*.f64 y #s(literal 1/500 binary64)) x))))
(fma.f64 (/.f64 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (-.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/125000000 binary64)) (.f64 x (.f64 x x)))) (fma.f64 x x (.f64 (.f64 (fma.f64 y #s(literal 1/500 binary64) x) y) #s(literal 1/500 binary64))) (neg.f64 (/.f64 (.f64 x x) (-.f64 (*.f64 y #s(literal 1/500 binary64)) x))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 y y) #s(literal -1/250000 binary64)))) (fma.f64 y #s(literal 1/500 binary64) x) (neg.f64 (/.f64 (.f64 y (*.f64 y #s(literal 1/250000 binary64))) (fma.f64 y #s(literal -1/500 binary64) x))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 x (.f64 x x) (.f64 #s(literal -1/125000000 binary64) (.f64 y (.f64 y y))))) (fma.f64 x x (.f64 (.f64 (fma.f64 y #s(literal 1/500 binary64) x) y) #s(literal 1/500 binary64))) (neg.f64 (/.f64 (.f64 y (*.f64 y #s(literal 1/250000 binary64))) (fma.f64 y #s(literal -1/500 binary64) x))))
(neg.f64 (-.f64 (*.f64 y #s(literal -1/500 binary64)) x))
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(.f64 (fma.f64 y #s(literal 1/500 binary64) x) (pow.f64 (.f64 (fma.f64 y #s(literal 1/500 binary64) x) (fma.f64 y #s(literal 1/500 binary64) x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)))
(.f64 (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (.f64 y (.f64 y #s(literal 1/250000 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) (.f64 (.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64)))))
(.f64 (fma.f64 y #s(literal -1/500 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (*.f64 y y) #s(literal -1/250000 binary64)))))
(.f64 (-.f64 (.f64 y #s(literal 1/500 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 x x (.f64 (.f64 y y) #s(literal -1/250000 binary64)))))
(*.f64 (pow.f64 (fma.f64 y #s(literal 1/500 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 y #s(literal 1/500 binary64) x) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (fma.f64 y #s(literal 1/500 binary64) x) #s(literal -1/2 binary64)) (.f64 (pow.f64 (fma.f64 y #s(literal 1/500 binary64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #s(literal -1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) (.f64 (.f64 y (.f64 y y)) #s(literal 1/125000000 binary64)))) (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (.f64 y (*.f64 y #s(literal 1/250000 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) (.f64 (.f64 y (.f64 y y)) #s(literal 1/125000000 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (.f64 y (*.f64 y #s(literal 1/250000 binary64))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (*.f64 y y) #s(literal -1/250000 binary64)))) (fma.f64 y #s(literal -1/500 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (*.f64 y y) #s(literal -1/250000 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/500 binary64) x)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x (.f64 (.f64 y y) #s(literal -1/250000 binary64)))) (-.f64 (.f64 y #s(literal 1/500 binary64)) x))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x (.f64 (*.f64 y y) #s(literal -1/250000 binary64)))) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/500 binary64) x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 y #s(literal 1/500 binary64) x) (fma.f64 y #s(literal 1/500 binary64) x)) #s(literal -1 binary64)) (fma.f64 y #s(literal 1/500 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y #s(literal 1/500 binary64) x) (fma.f64 y #s(literal 1/500 binary64) x))) (fma.f64 y #s(literal 1/500 binary64) x))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y #s(literal 1/500 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 y #s(literal 1/500 binary64) x) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x x) (.f64 (.f64 y (.f64 y y)) #s(literal 1/125000000 binary64)))) (neg.f64 (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (.f64 y (*.f64 y #s(literal 1/250000 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 y (.f64 y y)) #s(literal 1/125000000 binary64))))) (neg.f64 (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (.f64 y (*.f64 y #s(literal 1/250000 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y #s(literal 1/500 binary64) x) (-.f64 (.f64 y #s(literal -1/500 binary64)) x))) (-.f64 (.f64 y #s(literal -1/500 binary64)) x))
(.f64 (/.f64 (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (.f64 y (.f64 y #s(literal 1/250000 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/125000000 binary64)) (.f64 #s(literal 1/15625000000000000 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))))) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 #s(literal -1/125000000 binary64) (.f64 y (.f64 y y)))) (.f64 #s(literal 1/15625000000000000 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))))
(.f64 (/.f64 (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (.f64 y (.f64 y #s(literal 1/250000 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/125000000 binary64)) (.f64 #s(literal 1/15625000000000000 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))))) (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/125000000 binary64)) (-.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/125000000 binary64)) (.f64 x (*.f64 x x))))))
(.f64 (/.f64 (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (.f64 y (.f64 y #s(literal 1/250000 binary64)))) (-.f64 (.f64 #s(literal 1/15625000000000000 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (-.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/125000000 binary64)) (.f64 x (*.f64 x x))))
(.f64 (/.f64 (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (.f64 y (.f64 y #s(literal 1/250000 binary64)))) (.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 y (.f64 y y)) #s(literal 1/125000000 binary64))) (fma.f64 x (.f64 x x) (.f64 #s(literal -1/125000000 binary64) (.f64 y (.f64 y y)))))) (fma.f64 x (.f64 x x) (.f64 #s(literal -1/125000000 binary64) (.f64 y (.f64 y y)))))
(.f64 (/.f64 (-.f64 (.f64 y #s(literal 1/500 binary64)) x) (-.f64 (.f64 #s(literal 1/15625000000000000 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (.f64 x x) (fma.f64 y (.f64 y #s(literal 1/250000 binary64)) (.f64 x x)) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/62500000000 binary64))))
(.f64 (/.f64 (-.f64 (.f64 y #s(literal 1/500 binary64)) x) (-.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/62500000000 binary64)) (.f64 (.f64 x x) (.f64 x x)))) (fma.f64 y (.f64 y #s(literal 1/250000 binary64)) (*.f64 x x)))
(.f64 (/.f64 (fma.f64 y #s(literal -1/500 binary64) x) (.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 y (.f64 y y)) #s(literal 1/125000000 binary64))) (fma.f64 x (.f64 x x) (.f64 #s(literal -1/125000000 binary64) (.f64 y (.f64 y y)))))) (fma.f64 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (fma.f64 y (.f64 y #s(literal 1/250000 binary64)) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x))))
(.f64 (/.f64 (fma.f64 y #s(literal -1/500 binary64) x) (.f64 (fma.f64 y (.f64 y #s(literal 1/250000 binary64)) (.f64 x x)) (fma.f64 x x (.f64 (.f64 y y) #s(literal -1/250000 binary64))))) (fma.f64 y (.f64 y #s(literal 1/250000 binary64)) (.f64 x x)))

eval142.0ms (3.4%)

Memory: 7.8MiB live, 245.8MiB allocated
Compiler: Compiled 34 434 to 2 084 computations (93.9% saved)

prune138.0ms (3.3%)

Memory

10.4MiB live, 283.4MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	1 073	0	1 073
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	1 073	7	1 080

Accuracy

100.0%

Counts

1 080 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal 1/500 binary64) x)
✓	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)))
✓	99.9%	(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
✓	100.0%	(+.f64 x (/.f64 y #s(literal 500 binary64)))
✓	99.6%	(.f64 (fma.f64 y #s(literal 1/500 binary64) x) (.f64 (fma.f64 y #s(literal 1/500 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))))
✓	50.3%	#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
✓	50.2%	#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

Compiler

Compiled 108 to 53 computations (50.9% saved)

regimes14.0ms (0.3%)

Memory

-19.1MiB live, 21.6MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
(fma.f64 y #s(literal 1/500 binary64) x)
(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)))
(.f64 (fma.f64 y #s(literal 1/500 binary64) x) (.f64 (fma.f64 y #s(literal 1/500 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))))

Outputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))

Calls

4 calls:

5.0ms	x
3.0ms	(+.f64 x (/.f64 y #s(literal 500 binary64)))
3.0ms	(/.f64 y #s(literal 500 binary64))
3.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 x (/.f64 y #s(literal 500 binary64)))`
100.0%	1	`(/.f64 y #s(literal 500 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes9.0ms (0.2%)

Memory

16.9MiB live, 16.9MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
(fma.f64 y #s(literal 1/500 binary64) x)
(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))

Outputs
(fma.f64 y #s(literal 1/500 binary64) x)

Calls

4 calls:

2.0ms	(/.f64 y #s(literal 500 binary64))
2.0ms	(+.f64 x (/.f64 y #s(literal 500 binary64)))
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(+.f64 x (/.f64 y #s(literal 500 binary64)))`
99.9%	1	`(/.f64 y #s(literal 500 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes5.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

Outputs
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

Calls

4 calls:

1.0ms	(+.f64 x (/.f64 y #s(literal 500 binary64)))
1.0ms	(/.f64 y #s(literal 500 binary64))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
50.2%	1	`x`
50.2%	1	`y`
50.2%	1	`(+.f64 x (/.f64 y #s(literal 500 binary64)))`
50.2%	1	`(/.f64 y #s(literal 500 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify7.0ms (0.2%)

Memory

-27.1MiB live, 11.4MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	13	18

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(fma.f64 y #s(literal 1/500 binary64) x)
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

Outputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(fma.f64 y #s(literal 1/500 binary64) x)
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))

soundness463.0ms (11.1%)

Memory

-6.8MiB live, 199.6MiB allocated

Rules

4 188×	`lower-/.f32`
4 188×	`lower-/.f64`
3 666×	`associate-/r*`
3 588×	`lower-/.f32`
3 586×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	138
1	64	138
2	141	138
3	398	138
4	1108	138
5	2539	138
6	3437	138
7	4311	138
8	4789	138
9	4964	138
10	5054	138
11	5752	138
12	6068	138
13	6070	138
14	6070	138
15	6070	138
0	8131	120
0	5	8
0	7	8
1	31	8
2	235	8
3	3706	8
0	8295	7

Stop Event

1×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 31 to 19 computations (38.7% saved)

preprocess25.0ms (0.6%)

Memory: 12.9MiB live, 50.7MiB allocated
Compiler: Compiled 44 to 26 computations (40.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	15	54
0	22	53
1	35	53
2	53	53
3	83	53
4	109	48
5	150	48
6	213	48
7	256	48
8	301	48
9	331	48
10	352	48
0	352	48

Iter	Nodes	Cost
0	15	54
0	22	53
1	35	53
2	53	53
3	83	53
4	109	48
5	150	48
6	213	48
7	256	48
8	301	48
9	331	48
10	352	48
0	352	48

start0.0ms (0%)

analyze0.0ms (0%)

sample646.0ms (15.5%)

explain76.0ms (1.8%)

preprocess19.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize19.0ms (0.5%)

series3.0ms (0.1%)

simplify264.0ms (6.3%)

rewrite229.0ms (5.5%)

eval26.0ms (0.6%)

prune28.0ms (0.7%)

simplify16.0ms (0.4%)

localize76.0ms (1.8%)

series7.0ms (0.2%)

simplify281.0ms (6.8%)

rewrite294.0ms (7.1%)

eval240.0ms (5.8%)

prune126.0ms (3%)

simplify221.0ms (5.3%)

localize131.0ms (3.2%)

series153.0ms (3.7%)

simplify282.0ms (6.8%)

rewrite215.0ms (5.2%)

eval142.0ms (3.4%)

prune138.0ms (3.3%)

regimes14.0ms (0.3%)

regimes9.0ms (0.2%)

regimes5.0ms (0.1%)

simplify7.0ms (0.2%)

soundness463.0ms (11.1%)

preprocess25.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	54
0	22	53
1	35	53
2	53	53
3	83	53
4	109	48
5	150	48
6	213	48
7	256	48
8	301	48
9	331	48
10	352	48
0	352	48